ABOUT AN EXAMPLE OF ALMOST CONTACT PARA-HYPERCOMPLEX STRUCTURE

The concepts of an admissible (almost) para-hypercomplex structure are introduced. On the distribution D of a sub-Riemannian manifold of contact type M, as on the total space of a vector bundle, admissible almost para-hypercomplex structure (D,J,S,T,u⃗,λ=η ○ π*,D) is defined. It is proved that the constructed almost para-hypercomplex structure is integrable if and only if the distribution D is a distribution of zero curvature.